Question

Drag each value to the correct location on the box plot. Not all values will be used.

Jason works as a delivery boy. He is paid daily, and the amount he is paid depends on the number of deliveries he makes. Jason’s earnings per day, in dollars, for 14 workdays are below.

118, 63, 82, 75, 80, 78, 72, 64, 75, 69, 78, 83, 76, 62

Jason creates a box using the data. Drag the values to the correct locations on the box plot.

76
118
62
75.5
69
80
72
75

Answer 1

abc

Explanation:

abc

Answer 2

Min value = 62

Lower quartile = 69

Median = 75.5

Upper quartile = 80

Max value = 83

Outlier = 118

Explanation:

Order the data from smallest to largest:

62, 63, 64, 69, 72, 75, 75, 76, 78, 78, 80, 82, 83, 118

The median (Q2) value is the middle value.

As the middle is between the 7th and 8th values,

median = (75 + 76) / 2 = 75.5

Lower quartile (Q1) = 4th value = 69

Upper quartile (Q3) = 11th value = 80

IQR = Q3 - Q1 = 80 - 69 = 11

Outliers < Q1 - 1.5 x IQR = 69 - 1.5 x 11 = 52.5

Outliers > Q3 + 1.5 x IQR = 96.5

Therefore, one outlier at 118

Minimum value = 62

Maximum value = 83 (as 118 is an outlier)